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3800368 = 2411213151
BaseRepresentation
bin1110011111110100110000
321011002010101
432133310300
51433102433
6213242144
744205535
oct16376460
97132111
103800368
112166300
121333354
13a30a50
1470cd8c
1550107d
hex39fd30

3800368 has 60 divisors (see below), whose sum is σ = 8773744. Its totient is φ = 1584000.

The previous prime is 3800347. The next prime is 3800369. The reversal of 3800368 is 8630083.

It is not an unprimeable number, because it can be changed into a prime (3800369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25093 + ... + 25243.

Almost surely, 23800368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386872).

3800368 is an abundant number, since it is smaller than the sum of its proper divisors (4973376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3800368 is a wasteful number, since it uses less digits than its factorization.

3800368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3800368 is about 1949.4532566851. The cubic root of 3800368 is about 156.0541122818.

The spelling of 3800368 in words is "three million, eight hundred thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 151 176 208 242 286 302 484 572 604 968 1144 1208 1573 1661 1936 1963 2288 2416 3146 3322 3926 6292 6644 7852 12584 13288 15704 18271 21593 25168 26576 31408 36542 43186 73084 86372 146168 172744 237523 292336 345488 475046 950092 1900184 3800368